Edge quantum criticality and emergent supersymmetry in topological phases

Abstract

Proposed as a fundamental symmetry describing our universe, spacetime supersymmetry (SUSY) has not been discovered yet in nature. Nonetheless, it has been predicted that SUSY may emerge in low-energy physics of quantum materials such as topological superconductors and Weyl semimetals. Here, by performing state-of-the-art sign-problem-free Majorana quantum Monte Carlo (QMC) simulations of an interacting 2D topological superconductor, we show convincing evidences that the N=1 SUSY emerges at its edge quantum critical point (EQCP) while its bulk remains gapped and topologically nontrivial. Remarkably, near the EQCP, we find that the edge Majorana fermion acquires a mass which is identical with that of its bosonic superpartner. To the best of our knowledge, this is the first observation that fermions and bosons have equal dynamically-generated masses, a hallmark of emergent SUSY. We further discuss experimental signatures of such EQCP and the associated edge SUSY.

Published version in PRL

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• PT-Symmetric Non-Hermitian Quantum Field Theories with Supersymmetry
• Correlated triple-Weyl semimetals with Coulomb interactions
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• Mitigating the fermion sign problem by automatic differentiation
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• Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
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• Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model
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• Searching for supersymmetry and its avatars
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• Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory
• Boundary and defect criticality in topological insulators and superconductors
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• Instanton-Induced Supersymmetry Breaking in Topological Semimetals
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• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Surface topological quantum criticality: Conformal manifolds and Discrete Strong Coupling Fixed Points